Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
1424 conjugacy classes of subgroups; only the 545 normal subgroups are shown.
This group has 1424 conjugacy classes of subgroups — too many to draw. Only its 545 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #11927380 | C2 | semidirect |
| 2. #11927361 | C2 | semidirect |
| 3. #11927356 | C2 | semidirect |
| 4. #11927349 | C2 | semidirect |
| 5. #11927344 | C2 | semidirect |
| 6. C2×#10597350 | C2 | semidirect |
| 7. C2×C19×#131 | C2 | semidirect |
| 9. #10597436 | C22 | semidirect |
| 10. #10597435 | C22 | semidirect |
| 14. C2×#64541 | C22 | semidirect |
| 15. C19×#131 | C22 | semidirect |
| 16. C19×#131 | C22 | semidirect |
| 17. C2×M16×C19 | C22 | semidirect |
| 18. C22×C8×C19 | C22 | semidirect |
| 19. #10597355 | C22 | semidirect |
| 20. #10597354 | C22 | semidirect |
| 21. C2×Dic76 | C22 | semidirect |
| 22. #10597350 | C22 | semidirect |
| 23. #10597350 | C22 | semidirect |
| 24. #10597350 | C22 | semidirect |
| 25. #10597350 | C22 | semidirect |
| 26. C2×D152 | C22 | semidirect |
| 27. C2×#64516 | C22 | semidirect |
| 92. C2×#131 | D19 | semidirect |
| 113. #131 | C2×D19 | semidirect |
| 114. #131 | C2×D19 | semidirect |
| 115. C2×M16 | C2×D19 | semidirect |
| 116. C22×C8 | C2×D19 | semidirect |
| 117. C19 | #3584 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927380 | 2 |
| #11927361 | 2 |
| #11927356 | 2 |
| #11927349 | 2 |
| #11927344 | 2 |
| C2×#10597350 | 2 |
| C2×C19×#131 | 2 |
| #3584 | 19 |